Question

The freezing temperatures for water for Celsius and Fahrenheit scales are 0ºC and 32ºF. The boiling temperatures for water are 100 ºC and 212 ºF. Let C denote the temperature in Celsius and F in Fahrenheit. Write the conversion function from Celsius to Fahrenheit. Use the function to convert 25 ºC into ºF.

Answer 1

Answer:

Therefore the required function is

$C= \frac{5}{9} (F-32)$

Therefore 25°C=57°F

Explanation:

F denotes temperature of Fahrenheit and C denotes temperature of Celsius.

$\frac{C-0}{100-0} =\frac{F-32}{212-32}$

$\Rightarrow C= \frac{100}{180} (F-32)$

$\Rightarrow C= \frac{5}{9} (F-32)$

Therefore the required function is

$C= \frac{5}{9} (F-32)$

Putting C=25°C in above equation

$25=\frac{5}{9} (F-32)$

$\Rightarrow 25 \times \frac{9}{5} = F-32$

⇒45 =F-32

⇒F=32+45

⇒F=57

Therefore 25°C=57°F